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7二进制

一、专题简析:

二进制就是只用0和1两数字,在计数与计算时必须“满二进一”,即每两个相同的单位组成一个和它相邻的最高的单位。

二进制的最大特点是:每个数的各个数位上只有0或只有1两种状态。

二进制与十进制之间可以互相转化。

1、将一个二进制数写成十进制数的步骤是:(1)将二进制数的各数位上数字改写成相应的十进制数;(2)将各数位上对应的十进制数求和,所得结果就是相应的十进制数。将十进制数改写成二进制数的过程,正好相反。

2、十进制数改写成二进制数的常用方法是:除以二倒取余数。

3、二进制数的计算法则:

(1)加法法则:0+0=0 0+1=1 1+0=1 1+1=10

2)乘法法则:0×0=0 0×1=0 1×0=0 1×1=1

二、精讲精练:

1:把二进制数1102)改写成十进制数。

一:

把下列二进制数分别改写成十进制数。

1)1002)2)10012)3)11102)

2:把十进制数38改写成二进制数。

把下列十进制数分别改写成二进制数。

1)1210)

2)1510)

3)7810)

3:计算10112)112)

1、计算1012)102)

2、计算11102)112)

3、计算110102)11112)

4:计算11012)×112)

1、计算1102)×102)

2、计算10112)×112)

3、计算1012)×1102)

5:计算11112)÷1012)

1、计算111002)÷1002)

2、计算100102)÷112)

3、计算100001112)÷112)

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  1. CONNECT:[ UseTime:0.000761s ] mysql:host=127.0.0.1;port=3306;dbname=c460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000775s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000304s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000226s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000448s ]
  6. SELECT * FROM `set` [ RunTime:0.000186s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000496s ]
  8. SELECT * FROM `article` WHERE `id` = 480426 LIMIT 1 [ RunTime:0.000444s ]
  9. UPDATE `article` SET `lasttime` = 1770771656 WHERE `id` = 480426 [ RunTime:0.001957s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000237s ]
  11. SELECT * FROM `article` WHERE `id` < 480426 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000405s ]
  12. SELECT * FROM `article` WHERE `id` > 480426 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000386s ]
  13. SELECT * FROM `article` WHERE `id` < 480426 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001005s ]
  14. SELECT * FROM `article` WHERE `id` < 480426 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.007207s ]
  15. SELECT * FROM `article` WHERE `id` < 480426 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001016s ]
0.159286s